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Finding the Fourth Proportional to 9,492.30, 14,239.93 and 4,561.02

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Solution

The fourth proportional to 9,492.30, 14,239.93 and 4,561.02 is: 6,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.30 : 14,239.93 = 4,561.02 : x
  2. Step 2: Convert to fraction form
    9,492.30/14,239.93 = 4,561.02/x
  3. Step 3: Cross multiply
    9,492.30x = 14,239.93 × 4,561.02
  4. Step 4: Simplify right side
    9,492.30x = 64,948,605.53
  5. Step 5: Solve for x
    x = 64,948,605.53/9,492.30
  6. Step 6: Final answer
    x = 6,842.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.